Write in exponential form: \( \quad \log 10,000=4 \)

To convert the logarithmic equation \( \log 10,000 = 4 \) into exponential form, follow these steps: 1. **Identify the components of the logarithm:** - **Base (b):** Since the logarithm is written as \(\log\) without a subscript, it is assumed to be base 10. - **Exponent (y):** 4 - **Result (x):** 10,000 2. **Use the definition of logarithms:** \[ \log_b(x) = y \quad \text{is equivalent to} \quad b^y = x \] 3. **Apply this to the given equation:** \[ \log_{10}(10,000) = 4 \quad \Rightarrow \quad 10^4 = 10,000 \] **Exponential Form:** \[ 10^4 = 10,\!000 \]